Question

Classify the system of equations 2x=-3-y 4+y=-2x-2

Answer 1

Answer:

Second option: Parallel.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Solve for "y" in each equation:

Equation 1

$2x=-3-y \\\\2x+y=-3\\\\y=-2x-3$

Equation 2

$4+y=-2x-2\\\\y=-2x-2-4\\\\y=-2x-6$

You can notice that the slope of the Equation 1 is:

$m_1=-2$

And the slope of the Equation 2 is:

$m_2=-2$

Observe that $m_1=m_2$, then you can conclude that the lines are: Parallel.

Answer 2

Answer:

parallel

Step-by-step explanation:

we have

2x=-3-y

isolate the variable y

y=-2x-3 ----> equation A

4+y=-2x-2

isolate the variable y

y=-2x-2-4

y=-2x-6 -----> equation B

Remember that

If two lines are parallel, then their slopes are the same

Line A and Line B have the same slope m=-2 and different y-intercept

therefore

The lines are parallel